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Finding the Fourth Proportional to 497,911.68, 686,995.20 and 293,967.36

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Solution

The fourth proportional to 497,911.68, 686,995.20 and 293,967.36 is: 405,602.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,911.68 : 686,995.20 = 293,967.36 : x
  2. Step 2: Convert to fraction form
    497,911.68/686,995.20 = 293,967.36/x
  3. Step 3: Cross multiply
    497,911.68x = 686,995.20 × 293,967.36
  4. Step 4: Simplify right side
    497,911.68x = 201,954,165,276.67
  5. Step 5: Solve for x
    x = 201,954,165,276.67/497,911.68
  6. Step 6: Final answer
    x = 405,602.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.